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FOPRA Experiment 54: Gaussian States for Calculating Spectral Functions
FOPRA-Versuch 54: Gaußsche Zustände zur Berechnung Spektraler Funktionen

Course 0000005524 in SS 2021

General Data

Course Type practical training
Semester Weekly Hours 2 SWS
Organisational Unit TUPHT30
Lecturers Ulrich Schollwöck
Assistants:
Fabian Grusdt
Dates

Assignment to Modules

This course is not assigned to any module.

Further Information

Courses are together with exams the building blocks for modules. Please keep in mind that information on the contents, learning outcomes and, especially examination conditions are given on the module level only – see section "Assignment to Modules" above.

additional remarks In this course, you learn how to solve general quadratic multi-mode bosonic problems (part A) and how to calculate spectral functions in such systems (part B). On the analytical side, you will become acquainted with multi-mode squeezing and bosonic multi-mode Bogoliubov transformations (part A) and theoretical aspects of spectral functions (part B). Extensions to non-zero temperature are also possible. On the numerical side, you will learn how to implement the resulting equations efficiently. This course offers insights into semi-analytical theoretical work. You learn a versatile technique which can be applied in many physically relevant situations. A model specific application includes the calculation of ground states (part A) and spectra (part B) for localized impurities immersed in an ultracold Bose Einstein condensate.
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